How do you combine like terms in #(5x ^ { 2} + 4x - 9) - ( - x ^ { 2} - 6x - 1)#?

1 Answer
May 27, 2017

See a solution process below:

Explanation:

First, remove all of the terms from parenthesis. Be careful to handle the signs of each individual term correctly:

#5x^2 + 4x - 9 + x^2 + 6x + 1#

Next, group like terms:

#5x^2 + x^2 + 4x + 6x - 9 + 1#

Now, combine like terms:

#5x^2 + 1x^2 + 4x + 6x - 9 + 1#

#(5 + 1)x^2 + (4 + 6)x + (-9 + 1)#

#6x^2 + 10x + (-8)#

#6x^2 + 10x - 8#